Scilab 5.3.3
- Scilab help
- Linear Algebra
- aff2ab
- balanc
- bdiag
- chfact
- chol
- chsolve
- classmarkov
- cmb_lin
- coff
- colcomp
- companion
- cond
- det
- eigenmarkov
- ereduc
- expm
- fstair
- fullrf
- fullrfk
- genmarkov
- givens
- glever
- gschur
- gspec
- hess
- householder
- im_inv
- inv
- kernel
- kroneck
- linsolve
- lsq
- lu
- lyap
- nlev
- orth
- pbig
- pencan
- penlaur
- pinv
- polar
- proj
- projspec
- psmall
- qr
- quaskro
- randpencil
- range
- rank
- rankqr
- rcond
- rowcomp
- rowshuff
- rref
- schur
- spaninter
- spanplus
- spantwo
- spec
- sqroot
- squeeze
- sva
- svd
- sylv
- trace
Please note that the recommended version of Scilab is 2025.0.0. This page might be outdated.
See the recommended documentation of this function
fullrf
full rank factorization
Calling Sequence
[Q,M,rk]=fullrf(A,[tol])
Arguments
- A
real or complex matrix
- tol
real number (threshold for rank determination)
- Q,M
real or complex matrix
- rk
integer (rank of
A
)
Description
Full rank factorization : fullrf
returns Q
and M
such
that A = Q*M
with range(Q
)=range(A
) and ker(M
)=ker(A
),
Q
full column rank , M
full row rank,
rk = rank(A) = #columns(Q) = #rows(M)
.
tol
is an optional real parameter (default value is sqrt(%eps)
).
The rank rk
of A
is defined as the number of singular values
larger than norm(A)*tol
.
If A is symmetric, fullrf
returns M=Q'
.
Examples
See Also
Authors
F.D.;
<< fstair | Linear Algebra | fullrfk >> |